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Numerical Methods for Partial Differential Equations

The exhaustive list of topics in Numerical Methods for Partial Differential Equations in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Laplace and Poisson equation
  • Heat equation
  • Transport equation
  • Wave equation
  • Poisson equation
  • Elliptic equations and errors
  • Stability
  • Lax equivalence theorem
  • Spectral methods
  • Spectral methods
  • Elliptic equations and linear systems
  • Sparse linear systems
    • Multigrid
    • Krylov methods
  • Differential equations
  • ODE and von Neumann stability
  • Advection equation and modified equation
  • Advection equation and ENO/WENO
  • Conservation laws
    • Theory
    • Numerical methods
    • High resolution methods
  • Operator splitting
  • Fractional steps
  • IVP
  • Wave equation
  • Leapfrog
  • Staggered grids
  • Level set method
  • Navier-Stokes equation
    • Finite difference methods
    • Pseudospectral methods